Search a number
-
+
555056265645 = 325723107716003
BaseRepresentation
bin10000001001110111110…
…11100111100110101101
31222001200211021210101100
420010323323213212231
533043223401000040
61102553410033313
755046545261350
oct10047373474655
91861624253340
10555056265645
111a4441878792
128b6a7278839
13404595b965b
141cc172a0297
15e689345b30
hex813bee79ad

555056265645 has 96 divisors (see below), whose sum is σ = 1158070597632. Its totient is φ = 240439199616.

The previous prime is 555056265581. The next prime is 555056265661. The reversal of 555056265645 is 546562650555.

555056265645 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 5 + 626 + 5 + 6 + 4 + 5 = 666.

It is not a de Polignac number, because 555056265645 - 26 = 555056265581 is a prime.

It is a super-3 number, since 3×5550562656453 (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 555056265591 and 555056265600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417214 + ... + 1133216.

It is an arithmetic number, because the mean of its divisors is an integer number (12063235392).

Almost surely, 2555056265645 is an apocalyptic number.

It is an amenable number.

555056265645 is an abundant number, since it is smaller than the sum of its proper divisors (603014331987).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

555056265645 is a wasteful number, since it uses less digits than its factorization.

555056265645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716151 (or 716148 counting only the distinct ones).

The product of its (nonzero) digits is 27000000, while the sum is 54.

The spelling of 555056265645 in words is "five hundred fifty-five billion, fifty-six million, two hundred sixty-five thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 107 115 161 207 315 321 345 483 535 749 805 963 1035 1449 1605 2247 2415 2461 3745 4815 6741 7245 7383 11235 12305 17227 22149 33705 36915 51681 86135 110745 155043 258405 716003 775215 2148009 3580015 5012021 6444027 10740045 15036063 16468069 25060105 32220135 45108189 49404207 75180315 76612321 82340345 115276483 148212621 225540945 229836963 247021035 345829449 383061605 536286247 576382415 689510889 741063105 1037488347 1149184815 1608858741 1729147245 1762083383 2681431235 3447554445 4826576223 5187441735 5286250149 8044293705 8810416915 12334583681 15858750447 24132881115 26431250745 37003751043 61672918405 79293752235 111011253129 185018755215 555056265645